Use the Jacobi Method to solve the following sparse system for n = 100 and n = 10000. Use the stopping criterion that the infinity norm of the difference between the iterate and true solution is less than 10-6. The correct solution is [1, ..., 1]. Report the number of steps needed and the backward error. The system is 3 -1 -1 3 −1 -1 -1 x1 Ju -1 Xn 1 3 2

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Use the Jacobi Method to solve the following sparse system for n = 100 and n = 10000. Use the stopping criterion that the infinity norm of the difference
between the iterate and true solution is less than 10~6. The correct solution is [1, ..., 1]. Report the number of steps needed and the backward error. The
system is
3
-1
-1
3
-1
-1
X1
메
3 -1 Xn
-1
3
Transcribed Image Text:Use the Jacobi Method to solve the following sparse system for n = 100 and n = 10000. Use the stopping criterion that the infinity norm of the difference between the iterate and true solution is less than 10~6. The correct solution is [1, ..., 1]. Report the number of steps needed and the backward error. The system is 3 -1 -1 3 -1 -1 X1 메 3 -1 Xn -1 3
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